7. у %3D х3 — 5, P2, - 1) 8. y = 7 - x, P(2, 3) 9. у %3 х? — 2r — 3, Р(2, —3) 10. у %3D х? — 4r, P(1, -3) 11. у 3 х, Р(2, 8) 12. у %3D 2 — х3, P(1, 1) 13. у %3D х — 12х, Р(1, —11) 14. y = x – 3r? + 4, P(2, 0) 15. у %3D т. Р-2, -1/2)
Q: xp | %3D P O O d. dy -43xcsc(5x)[5cot(5x)– 3ln(4)] xp -43Xcsc(5x)[5cot(5x)+ 3In(4)] Oc. dy %3D xp |…
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A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
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A: We compare the given fractional linear programming problem by the standard fractional linear…
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A: Given that, Fu0,...,u4=au0+bu1+cu2+fu3+ru4du1+eu2+gu3+su4 (8)
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Q: S( 7x3 – 5 vx +. 18 V +x-40 ) dx x3 10 2x³/2 + 12x³/2 - -394 C с 7 10 x³/2 + 12x¬³/2.1 x-39, C 39 39…
A: Given∫7x3-5x+18xx3+x-40dx=∫7x3dx-∫5xdx+∫18xx3dx+∫x-40dx∫7x3-5x+18xx3+x-40dx=7∫x3dx-5∫xdx+18∫x-52dx+∫…
Q: 1. d²y dt2 dy + 6- +8y=2e-3t dt 2. d²y dy +4 dt² dt +13y = e-t 3. d²y dy +7 +10y=e-2t dt2 dt
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Q: S6xw, fx,w (x, w) = 0, 0sxs 1,0 < w s Vã otherwise (3x2, fx(x) = lo, 0<x<1 otherwise
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Q: solve each system of equations using matrices (row operations). If the system has no solution, say…
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A: We will find out the required value.
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Q: 2- If L(x, y) = ax + by2 is a Lyapunov function at the origin for the system * = y + x³, y = -x +…
A: According to guidelines we have to solve only one question.
Q: 5,4 R(x,y) = 3x* - 3x°y" + 5x°yª Ryx Ryy = Rx y = Ryx = II
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Q: ди If u = e*yz then is az 1)e*yz 2)e*yz (xy) 3) e *yz (yz) 4) e* Select one: O a. Option 1 O b.…
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Q: Sve SVé -3 dt u = Ve' – 3
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Q: 7. Apply the Gauss-Seidel method to Exercise 3.
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A: The given differential equation is: (5D3+3D2-32D+12)y=0 The auxiliary equation is: 5m3+3m2-32m+12=0
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Q: Evaluate: S 2y+3 (y-1)(³-1) dy ° − In\y − 1| − § (y − 1)³ + ¼ln|y² + y +1| - O √3 ○ – In|₁¹|- (y −…
A: We will use partial fraction decomposition to solve the given integral .
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Q: M. -5z + 11 2² - 10z + 21 Iz 61 2 dz Use any of the results in this $ (a) -12ni (b) |z| = 9 33 Book…
A: We have to solve the given problem.
Q: .2 f(x, y, z) = 4xy – 8xyz + 7yz² f,(x. y, z) = &xy– 8yz fy(x, y, z) = | 4x- - 8x2 f.(x, y, z) =…
A: To find the first partial derivatives of: f(x,y,z)=4x2y-8xyz+7yz2
Q: solve the systems of equations by anyconvenient method, if a solution exists.
A: Use substitution method to solve the equations.
Q: [1 1] в 3D [о 2 andD %3DA + B and d,z 3 1,d31 3 —2 then 2 х — 11 If A =|-3 y 4 1. х%3D1,у%3D -1 2.…
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Q: where a, b, d, e, r and K are positive constants. What type of interaction exists between N1 and N2?…
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Q: III 1. dt2 fip +6- dt and the gen +8y=2e-3t am to nor 2. d'y dt2 fip +4 +13y=et dt 3. +10y = e
A: The objective is to find the general solution of the given differential equation.
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A: The data values given is as follows x y 2 3 6 7 3 4 1 2
Q: round (cov (DFRAME), 2) M N 0 M 2.71 -1.33 0.38 -1.20 0.78 N -1.33 2.89 -1.44 -0.89 0.38 -1.44 5.60…
A: The covariance between two variables say, X and Y is denoted by Cov(X,Y). The covariance between X…
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Q: 4,7. Dra 2a + brz lg 2,3.D X7 - lg ZA Z₂² 2.3.0,068 16.0,07.0,7653² Aew2= dew2= 4,7.0,068…
A: A calculator can be used to evaluate complex mathematical expression.
Q: dt | sec? 3 3.
A: Given: An integral ∫sec2t3dt Integral of sec2x is given by∫sec2x=tan x+C. Using the formula…
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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…
Q: (1) v2T V2ㅠ 21+ e-2 eTaz 0003 1 •.. v2ㅠ 32+을 e-3 eTds 0|00|1 (2) 32+ e-3 e 12-3 .. (3) V2T 43+3 e-4…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
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Q: In Exercises 4-15, find the minimum and maximum values of the functionsubject to the given…
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Q: dy Ify드a2-4x-의. then. dx x2 2x-2) 2-4x-5 einz2-4x-5)- In(z+2)]. x2-4x-5 x2 x2-4x-5 x 2 x 2 2-4x-5…
A: Consider the given equation:
Q: x²y-y -y': у+1 ; у(3) - -1 %3D а. х3— х — Зу- Iny3 - 21 %3D с. х3 — Зх - Зу- Iny3- k d. x3 - 3x -…
A: Given that : y' = (x2y - y) /(y+1).and y(3) = -1. We solve this differential equations by using…
Q: #20
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Q: > round (cov (DFRAME),2) M N M 2.71 -1.33 0.38 -1.20 0.78 N -1.33 2.89 -1.44 -0.89 0.38 -1.44 5.60…
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A: We have to solve
Average Rates of Change
In Exercises 1–6, find the average rate of change of the function over the given interval or intervals
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- Explain the differences between Gaussian elimination and Gauss-Jordan elimination.2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1An industrial concern has experimented with several different mixtures of the fourcomponents—magnesium, sodium nitrate, strontium nitrate, and a binder—that comprise arocket propellant. The company has found that two mixtures, in particular, give higher flare illumination values than the others. Mixture 1 consists of a blend composed of the proportions.40, .10, .42, and .08, respectively, for the four components of the mixture; mixture 2 consists ofa blend using the proportions .60, .25, .10, and .05. Twenty different blends (10 of each mixture)are prepared and tested to obtain the flare-illumination values. These data appear here (in unitsof 1,000 candles).Mixture 1 185 192 201 215 170 190 175 172 198 202Mixture 2 221 210 215 202 204 196 225 230 214 217a. Plot the sample data. Which test(s) could be used to compare the meanillumination values for the two mixtures?b. Give the level of significance of the test and interpret your findings
- The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.31 - Find the regression model. Regresyon modelini bulunuz. Y X 2 5 5 9 7 4 4 11A) y=-3,21+2,11xB) y=2,56+5,43xC) y=5,27+0,11xJustify is it true or false? It is possible for variables to have r=0 but still have a strong association.
- At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 10 x + y = 50 + z + u and x − y + z − u = 46. How large was the audience of each of the four companies at the end of that year?An ecologist is considering two different positions in which to setup his solar energy collector. He takes two identical collector places one in each of the positions and measure the energy in at collected as 10 consecutive days. Days 1 2 3 4 5 6 7 8 9 10 Position X 2.6 5.4 3.2 5.0 4.3 2.7 2.6 3.9 6.0 1.6 POSITION y 2.8 5.1 3.1 6.0 4.6 3.2 2.9 4.5 6.2 2.2 Test whether the difference of mean is significance ? what will be the answerAt the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 12 x + y = 44 + z + u and x − y + z − u = 36. How large was the audience of each of the four companies at the end of that year? Microsoft million Time Warner million Yahoo million Google million
- When looking at the data for graduate school admissions between men and women, it is shown that about 45% of men are admitted but only 38% of women. However, when the data is broken down by school it turns out that, within each school, the women are admitted at higher rates than the men. This could happen because I. The women apply in higher numbers to schools with lower acceptance rates. II. The women apply in higher numbers to schools with higher acceptance rates III. The men apply in higher numbers to schools with lower acceptance rates IV. The men apply in higher numbers to schools with higher acceptance ratesAt the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 22 x + y = 50 + z + u and x − y + z − u = 58. How large was the audience of each of the four companies at the end of that year? Microsoft Time Warner Yahoo GoogleThe personnel department of a large corporation gives two aptitude tests to job applicants. From many years’ experience, the company has found that a person’s score for the first test, Y1, is normally distributed with μ1 = 50 and σ1 = 10. The scores for the second test, Y2, are normally distributed with μ2 = 100 and σ2 = 20. A composite score, Y, is assigned to each applicant, where Y = 3Y1 + 2Y2. To avoid unnecessary paperwork, the company automatically rejects any applicant whose composite score is below 375. If six individuals submit résumés, what are the chances that fewer than half will fail the screening tests? Hint: Use the fact that the sum of two independent normal random variables is also a normal random variable.